Question

triangle p q r is an isosceles triangle in which pq equal to pr qp is produced to pt s qp equals to ps show that angle q r s equal to 90 degree ​

Answer 1

We have,

According to given figure.

PQ=PR(giventhat)

QS=SR(Bydefinationofmidpoint)

PS=PS(Commonline)

Then,

ΔSPQ≅ΔSPR (BY congruency S.S.S.)

Hence, PS bisects ∠PQR by definition of angle bisector.